someone help? 25 points

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

Answer:

120

Step-by-step explanation:

by using the basic counting rule, there are 5 positions first, then 4, then ,3 and so on down to one. so when you multiply them all together, you get 120. Also i took  a test with the same qeustion, and that was the anwer :)

Answer:

120

Step-by-step explanation:

5 times 4 times 3 times 2 times 1= 120

5 choices for first

1 choice already taken so 4 for the other model

3 for the other

2 for the other

and 1 for the other

=120

Its correct, trust me!

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Answer:

65.97

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

⇒ Probability to get less then 4 = 9 / 50

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

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Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

Answer: the answer is approximately 45.6

Step-by-step explanation:

Answer:

No it wont

Step-by-step explanation:

Answer:

area - 120 cm

Step-by-step explanation:

Answer:

A = 120 cm^2

P = 54 cm

Step-by-step explanation:

Area of parallelogram: = base * height

A = 15 cm * 8 cm = 120 cm^2

Perimeter of parallelogram = sum of lengths of sides

P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm

Answer:

Q4. 2144     Q5. -16     Q6.   Downwards     Q7.   0 seconds

Step-by-step explanation:

Q4.    h(t) = -16t² + 2400    Substitute 4 for t

h(4) = -16(4)² + 2400          Simplify the exponent

h(4) = -16(16) + 2400          Multiply

h(4) = -256 + 2400            Add

h(4) = 2144

Q5.   I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.

Q6.   At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.

Q7.   0 seconds because the rocket goes 0 feet in 0 seconds.

If these answers are correct, please make me Brainliest!

Answer:C

Step-by-step explanation:

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

Answer:

Step-by-step explanation:

hello : here is an solution

Answer:

44t + 11

Step-by-step explanation:

[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]

Answer:

the answer is attached to the picture

Answer:

D

E

F

Step-by-step explanation:

Because as long as they stay the same they can just be mixed.

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

Answer:

B

Step-by-step explanation:

hope this helps.......

Answer:

my answer is B

Step-by-step explanation:

I know this because I just took a test on this and got it right.

Answer:

c (just took the test)

Step-by-step explanation:

Garreth and Elisa ran together, Luigi and Jasmine went the same distance, and Logan and Jasmine have the same displacement in the opposite direction.

As per the given information, in which the time, speed, and velocity of five runners, the statement that gives the best description about the runners is: “Garreth and Elisa ran ………..  in the opposite direction.” Hence, Option C is correct.

From a cardiovascular aspect, runners are highly fit athletes, but they frequently struggle with their balance, upper body strength, and glute power. Sports that use different muscles and gaits are recommended for runners.

While sprinters are taller and significantly more muscular, long-distance runners often have a shorter, lighter build. The types of workload each runner endures are a direct result of the differences between these two body types.

Logan and Jasmine moved in the opposite direction at the same speed as Jasmine, while Garreth and Elisa ran side by side. Luigi and Jasmine also covered the same distance.

Therefore, Option C is correct.

Learn more about runners from here:

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Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

Answer:

1/76

Step-by-step explanation:

Five marbles are red,

four are green,

ten are blue, and

one is white.

Sample space S= 5+4+10+1= 20

Probability of selecting a red Mable

Pr(red) = 5/20= 1/4

Probability of selecting a white Mable without replacement after the first selection

Pr(white) = 1/19= 1/19

the probability of selecting a red marble and then a white marble without replacement?

= 1/4*1/19= 1/76